First of all, claiming that the Klingons as a species are marginalized is fucking stupid when they control an interstellar empire and conquer the shit out of planets. Literally the only Klingon character who can claim to be marginalized in the TNG+ era is Worf, and that's because he got exiled from his own damn people's society twice for political bullshit. The Federation sure as fuck hasn't marginalized him and if he does show up in Picard S2, I wouldn't be surprised if he was commanding the Enterprise as per the prequel novel.
Second, Picard is privileged as fuck. Throughout the run of TNG and the TNG movies, he's gotten to dictate Federation foreign policy to a ridiculous degree, while being a huge ass hypocrite and doing more to help non-Federation citizens than actual Federation citizens. It's so fucking blatant that both Red Letter Media and SFDebris talk about his absurd flip-flop from obeying orders to relocate Indians due to a peace treaty with the Cardassians (who tortured him and already violated a previous treaty) and disobeying orders to help the Ba'ku.
He got used to being able to make the Federation his bitch with speeches heavy on moral rhetoric and not cold, pragmatic reasoning, and when his approach failed, he walked the fuck out because "pragmatism and competence equals evilthe Federation abandoning its principles," even though the Federation has committed far more egregious violations of its principles in the past. His moral absolutist stance fucked over tons of people, while he sat on his vineyard and sulked over how, in the wake of a war that fucked up a big part of the quadrant and required rebuilding parts of the Federation and the whole Cardassian Union, the Federation has zero reason to bend to his whims in order to save a race and government that has tried to fuck them over several times in the past twenty years.
Honestly
Star Trek: Insurrection just seemed more contrived then usual. They really had to
force Picard into a single path to save the Ba'ku like when Picard confronted Admiral Oldpudgyface or whatever his name was in the movie and the Admiral literally no-sold every counter Picard had in a single conversation and then the Admiral doubled down and was like... Oh I guess we gotta destroy the Enterprise meow...
If I'm remembering the film correctly... I only saw it once.
What was the point of me writing this post again?
Oh... yeah... I don't think that Picard cares more about other people then Federation citizens
so to speak. I'm sure by action and encounter it might come out that way because he's very conciliatory and oftentimes when engaging with Federation politics it's often in a negative sense (the phase cloaking debacle, Captain Maxwell going vigilante on the Cardassians, the Maquis violating the treaty, and some other things I probably already forgot about) so it'll seem naturally slanted against the Federation. Plus he's an explorer and a diplomat so he's constantly doing stuff like encountering random colonies of genetic puritans to save from stellar phenomena or making contact with crazy aliens who speak in parable and metaphor or your aforementioned Cardassian interactions.
Plus there's still that thing with the Prime Directive, it got super cringey in the last season, but Picard's morality (or privilege) proved pretty strongly negative in some encounters, or could've or would've been in something circumstances like in
The High Ground with the smart aliens and stupid aliens in union with each other or that episode where they were forced to meddle in Tasha Yar's rape homeworld affairs.
So TLDR,
Insurrection was balls and we shouldn't derive anything about Star Trek's themes (at least for that era of Star Trek) from it.